225743435775 has 216 divisors, whose sum is σ = 487833705216. Its totient is φ = 98873798400.

The previous prime is 225743435741. The next prime is 225743435779. The reversal of 225743435775 is 577534347522.

It is a happy number.

225743435775 is a `hidden beast` number, since 2 + 2 + 574 + 34 + 35 + 7 + 7 + 5 = 666.

It is not a de Polignac number, because 225743435775 - 2¹² = 225743431679 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225743435779) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 19653184 + ... + 19664666.

It is an arithmetic number, because the mean of its divisors is an integer number (2258489376).

Almost surely, 2^225743435775 is an apocalyptic number.

225743435775 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

225743435775 is an abundant number, since it is smaller than the sum of its proper divisors (262090269441).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225743435775 is a wasteful number, since it uses less digits than its factorization.

225743435775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11583 (or 11562 counting only the distinct ones).

The product of its digits is 24696000, while the sum is 54.

The spelling of 225743435775 in words is "two hundred twenty-five billion, seven hundred forty-three million, four hundred thirty-five thousand, seven hundred seventy-five".